72748401 has 16 divisors (see below), whose sum is σ = 108677568. Its totient is φ = 42897600.

The previous prime is 72748393. The next prime is 72748409. The reversal of 72748401 is 10484727.

It is an interprime number because it is at equal distance from previous prime (72748393) and next prime (72748409).

It is not a de Polignac number, because 72748401 - 2³ = 72748393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72748409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28570 + ... + 31011.

It is an arithmetic number, because the mean of its divisors is an integer number (6792348).

Almost surely, 2^72748401 is an apocalyptic number.

It is an amenable number.

72748401 is a deficient number, since it is larger than the sum of its proper divisors (35929167).

72748401 is a wasteful number, since it uses less digits than its factorization.

72748401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59632.

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 72748401 is about 8529.2673190609. The cubic root of 72748401 is about 417.4532219573.

The spelling of 72748401 in words is "seventy-two million, seven hundred forty-eight thousand, four hundred one".